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3435434345343 = 3721121331479263
BaseRepresentation
bin110001111111011111110…
…110000000001101111111
3110011102110022210220011210
4301333133312000031333
5422241232143022333
611150114452415503
7503126160060300
oct61773766001577
913142408726153
103435434345343
111104a61143200
12475988017593
131bbc6336a2a0
14bc3c114a7a7
155e56bdb7a63
hex31fdfd8037f

3435434345343 has 144 divisors (see below), whose sum is σ = 6510874288128. Its totient is φ = 1594217116800.

The previous prime is 3435434345311. The next prime is 3435434345353.

3435434345343 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3435434345343 - 25 = 3435434345311 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3435434345292 and 3435434345301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435434345303) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6928530 + ... + 7407792.

Almost surely, 23435434345343 is an apocalyptic number.

3435434345343 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

3435434345343 is a deficient number, since it is larger than the sum of its proper divisors (3075439942785).

3435434345343 is a wasteful number, since it uses less digits than its factorization.

3435434345343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479346 (or 479328 counting only the distinct ones).

The product of its digits is 18662400, while the sum is 48.

The spelling of 3435434345343 in words is "three trillion, four hundred thirty-five billion, four hundred thirty-four million, three hundred forty-five thousand, three hundred forty-three".

Divisors: 1 3 7 11 13 21 31 33 39 49 77 91 93 121 143 147 217 231 273 341 363 403 429 539 637 651 847 1001 1023 1209 1519 1573 1617 1911 2387 2541 2821 3003 3751 4433 4557 4719 5929 7007 7161 8463 11011 11253 13299 16709 17787 19747 21021 26257 31031 33033 48763 50127 59241 77077 78771 93093 146289 183799 217217 231231 341341 479263 551397 651651 1024023 1437789 2389387 3354841 5271893 6230419 7168161 10064523 14857153 15815679 18691257 23483887 36903251 43612933 44571459 57990823 68534609 70451661 104000071 110709753 130838799 163428683 173972469 193142989 205603827 258322757 305290531 312000213 405935761 479742263 490286049 579428967 728000497 753880699 774968271 915871593 1144000781 1217807283 1352000923 1439226789 1797715513 2124572879 2184001491 2261642097 2841550327 3358195841 3432002343 4056002769 5277164893 5393146539 6373718637 8008005467 8524650981 9464006461 10074587523 12584008591 14872010153 15831494679 23370301669 24024016401 28392019383 36940154251 37752025773 44616030459 70110905007 88088060137 104104071071 110820462753 163592111683 264264180411 312312213213 490776335049 1145144781781 3435434345343